Explanation:

- Davis and Moore: They developed the Davis-Moore thesis, which argues that social stratification is a necessary and inevitable function of society. They believe it ensures role allocation and performance, as it matches the most qualified individuals to the roles most important for society.

- T. Parson: He was a sociologist who offered a general theoretical framework for analyzing society, focusing more on structure and integration rather than solely on role allocation.

- Eva Rosen fold: There is no prominent thinker by this name involved in traditional theories of social stratification.

- M. Young: Known for coining the term "meritocracy," which relates to social stratification but doesn't specifically focus on role allocation and performance.